The space of linear programs (LP) can be partitioned into a finite number of sets, each corresponding to a basis. This partition is thus called the basis partition. The closed-form solution on the space of LP can be determined with the basis partition if we can characterize the basis partition. A differential equation on the Grassmann manifold which represents the space of LP provides a powerful tool for characterizing the basis partition. In paper , the author presented some basic concepts and properties of this differential equation. This paper continues the research of  and presents three useful properties.
Research report, National University of Singapore, June 2008